A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes

Wojciech Dybalski, Michał Wrochna
September 13, 2018
In the setting of non-interacting Klein-Gordon fields on asymptotically anti-de Sitter spacetimes, we show that algebras of observables localized in a neighborhood of the boundary are subalgebras of a boundary algebra. The underlying mechanism is directly related to holography for classical fields. In particular, the proof relies on unique continuation theorems at the conformal boundary.
open access link Class. Quantum Grav. 36(8), 085006 (2019)
%%% contains utf-8, see: http://inspirehep.net/info/faq/general#utf8 %%% add \usepackage[utf8]{inputenc} to your latex preamble @article{Dybalski:2018egv, author = "Dybalski, Wojciech and Wrochna, Michał", title = "{A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes}", journal = "Class. Quant. Grav.", volume = "36", year = "2019", number = "8", pages = "085006", doi = "10.1088/1361-6382/ab0cb1", eprint = "1809.05123", archivePrefix = "arXiv", primaryClass = "math-ph", SLACcitation = "%%CITATION = ARXIV:1809.05123;%%" }

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